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Finding the Fourth Proportional to 202,016.50, 303,068.49 and 77,357.50

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Solution

The fourth proportional to 202,016.50, 303,068.49 and 77,357.50 is: 116,053.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,016.50 : 303,068.49 = 77,357.50 : x
  2. Step 2: Convert to fraction form
    202,016.50/303,068.49 = 77,357.50/x
  3. Step 3: Cross multiply
    202,016.50x = 303,068.49 × 77,357.50
  4. Step 4: Simplify right side
    202,016.50x = 23,444,620,715.18
  5. Step 5: Solve for x
    x = 23,444,620,715.18/202,016.50
  6. Step 6: Final answer
    x = 116,053.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.